Home » In the diagram, SQ is a tangent to the circle at P, XP||YQ, ∠XPY =…

In the diagram, SQ is a tangent to the circle at P, XP||YQ, ∠XPY =…

In the diagram, SQ is a tangent to the circle at P, XP||YQ, ∠XPY = 56 o and ∠PXY = 80 o.Find angle PQY

  • A.
    34o
  • B.
    13.36o
  • C.
    44o
  • D.
    46o
Correct Answer: Option A
Explanation

< XYQ = 180° – (80° + 56°)

= 44°

< PYQ = 56° (alternate angles, XP||YQ)

< QPY = 90°

< PQY = 180° – (90° + 56°)

= 34°

Related:  Differentiate (frac{6x^3 - 5x^2 + 1}{3x^2}) with respect to x